TOPICS
Search

Equidigital Number


An equidigital number is a positive integer n whose prime factorization, including its written exponents, contains the same number of decimal digits as n itself. Exponents equal to 1 are omitted, and the representation 1 is used for n=1. The first few equidigital numbers are 1, 2, 3, 5, 7, 10, 11, 13, 14, 15, 16, 17, 19, 21, 23, ... (OEIS A046758).


See also

Economical Number, Wasteful Number

Explore with Wolfram|Alpha

References

Pinch, R. G. E. "Economical Numbers." 9 Feb 1998. https://arxiv.org/abs/math/9802046.Santos, B. R. "Problem 2204. Equidigital Representation." J. Recr. Math. 27, 58-59, 1995.Sloane, N. J. A. Sequence A046758 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Equidigital Number

Cite this as:

Weisstein, Eric W. "Equidigital Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/EquidigitalNumber.html

Subject classifications